Apply the Power Rule of Exponents to form an equivalent expression of (26)2 .(1 point)Responses232 cubed242 superscript 4 baseline282 superscript 8 baseline212

Answer 1

To apply the Power Rule of Exponents, which states that \( (a^m)^n = a^{m \cdot n} \), we will rewrite the expression \( (26)^2 \).

The equivalent expression for \( (26)^2 \) is \( 26^2 \).

However, among the provided responses:

• \( 232 \) (which likely means \( 2^{32} \)) does not apply.
• \( 242 \) (likely \( 2^{42} \)) does not apply.
• \( 282 \) (likely \( 2^{82} \)) does not apply.
• \( 212 \) (likely \( 2^{12} \)) does not apply.

It appears none of the responses match \( (26)^2 \).

Please check if there might have been any formatting or typographical issues with the options provided.

If you meant \( (26^2) \) rewritten in simpler terms without numerical representations, it's just \( 26^2\).

Answer 2

26^2 isn't in the responses

Answer 3

I apologize for the confusion. Let's clarify the context of the question and determine if any of the provided responses could correspond to \(26^2\).

We need to analyze \( (26)^2 \):

• It is equivalent to \( 676 \) because \( 26 \times 26 = 676 \).

However, since your responses are in the form of exponents, let's convert \( 26^2 \) into a different base if possible.

None of the responses you provided seem to directly represent \( 26^2 \) as an exponent.

Let’s analyze your responses again:

1. \( 232 \) (which likely means \( 2^{32} \))
2. \( 242 \) (which likely means \( 2^{42} \))
3. \( 282 \) (which likely means \( 2^{82} \))
4. \( 212 \) (which likely means \( 2^{12} \))

None of these options are correct representations of \( 26^2 \).

If we misinterpreted your question, or if you're looking for a model solution or alternate forms of \( (26)^2 \) expressed with specific bases or assumptions about multiplication, let me know!

In short, if you're strictly looking for the power of \( 2 \) that would relate to some equivalent to \( (26)^2 \), we'd need to know how \( 26 \) should relate to those exponent bases listed in the responses to give a more precise answer. However, as presented, none of the options provided are equivalent to \( (26)^2 \).